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Finding the Third Proportional to 65,805.75 and 142,543.13

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Solution

The third proportional to 65,805.75 and 142,543.13 is: 308,765.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,805.75 : 142,543.13 = 142,543.13 : x
  2. Step 2: Convert to fraction form
    65,805.75/142,543.13 = 142,543.13/x
  3. Step 3: Cross multiply
    65,805.75x = 142,543.13 × 142,543.13
  4. Step 4: Simplify right side
    65,805.75x = 20,318,542,484.77
  5. Step 5: Solve for x
    x = 20,318,542,484.77/65,805.75
  6. Step 6: Final answer
    x = 308,765.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.